Question

​A tin box 1.5 m long, 1.25m wide and 65cm deep is to be made. It is to be open at the top. Ignoring the thickness of the sheet, determine the
(a) area of the sheet required to make the box.
(b) cost of sheet, if a sheet measuring 7m x 3.5m costs ₹ 490.​

Answer 1

Answer:

The cost of the sheet to create the box will be equal to area of the sheet multiplied by rate of 1m² sheet.

Length, l = 1.5 m

Breadth, b = 1.25 m

Height, h = 65 cm = 65/100 m = 0.65 m

The area of the sheet required to make the box = lb + 2(l + b)h

= (1.5 m × 1.25m) + 2 × (1.25 m + 1.5 m) × 0.65 m

= 1.875 m² + 2 × 2.75 m × 0.65 m

= 1.875 m² + 3.575 m²

= 5.45 m²

Therefore, the cost of the sheet = Rate of the sheet × Area of the sheet

= ₹ 20 / m² × 5.45 m²

= ₹109

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Therefore, the area of the sheet required for making the open box is 5.45 m² and the cost of the sheet is ₹109.